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UKMT Intermediate Mathematical Challenge, 2023

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The diagram shows a square, its two diagonals and two line segments, each of which connects two midpoints of sides of the square. What fraction of the area of the square is shaded?

(A) $\dfrac{1}{8}$ (B) $\dfrac{1}{10}$ (C) $\dfrac{1}{12}$ (D) $\dfrac{1}{16}$ (E) $\dfrac{1}{24}$

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